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67 is: the 19th prime number (the next is 71). a Chen prime. [1] an irregular prime. [2] a lucky prime. [3] the sum of five consecutive primes (7 + 11 + 13 + 17 + 19). a Heegner number. [4] a Pillai prime since 18! + 1 is divisible by 67, but 67 is not one more than a multiple of 18. [5] palindromic in quinary (232 5) and senary (151 6). a ...
All integers are either even or odd. A square has even multiplicity for all prime factors (it is of the form a 2 for some a). The first: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144 (sequence A000290 in the OEIS). A cube has all multiplicities divisible by 3 (it is of the form a 3 for some a).
This is a list of articles ... write the prime factorization of n in base 10 and concatenate the factors; iterate until a ... 17, 37, 47, 67, 97, 107, 127, 137 ...
This is a list of notable integer sequences with links to their entries in the On-Line ... is smallest prime factor of a(1) a(2) ⋯ a(n ... 29, 41, 47, 59, 67, ...
If none of its prime factors are repeated, it is called squarefree. (All prime numbers and 1 are squarefree.) For example, 72 = 2 3 × 3 2, all the prime factors are repeated, so 72 is a powerful number. 42 = 2 × 3 × 7, none of the prime factors are repeated, so 42 is squarefree. Euler diagram of numbers under 100:
Data source: Social Security Administration. Here's the maximum possible Social Security benefit at ages 62, 66, 67, and 70. Determining the best age to claim Social Security will come down to ...
Thus, all Mersenne numbers M 4k +1 are congruent to 11 modulo 20 and end in 11, 31, 51, 71 or 91, while Mersenne numbers M 4k −1 ≡ 7 (mod 20) and end in 07, 27, 47, 67, or 87. For the perfect numbers, define P n = 2 n−1 M n be the value which is perfect if M n is prime.
There are advantages to filing at both age 62 and age 67, and these three factors can help you decide which is the right move for you. ... Consider when Nvidia made this list on April 15, 2005 ...